Question 7060 – Data-Interpretation
April 2, 2024Question 2747 – UGC NET CS 2017 Jan -paper-2
April 3, 2024Question 2739 – UGC NET CS 2017 Jan -paper-2
Consider a sequence F 00 defined as : F 00 (0) = 1, F 00 (1) = 1
F 00 (n) = ((10 ∗ F 00 (n – 1) + 100)/ F 00 (n – 2)) for n ≥ 2 Then what shall be the set of values of the sequence F 00 ?
Correct Answer: A
Question 1 Explanation:
Given data,
Sequence F 00 defined as
F 00 (0) = 1,
F 00 (1) = 1,
F 00 (n) = ((10 ∗ F 00 (n – 1) + 100)/ F 00 (n – 2)) for n ≥ 2
Let n=2
F 00 (2) = (10 * F 00 (1) + 100) / F 00 (2 – 2)
= (10 * 1 + 100) / 1
= (10 + 100) / 1
= 110
Let n=3
F 00 (3) = (10 * F 00 (2) + 100) / F 00 (3 – 2)
= (10 * 110 + 100) / 1
= (1100 + 100) / 1
= 1200
Similarly, n=4
F 00 (4) = (10 * F 00 (3) + 100) / F 00 (4 – 2)
= (12100) / 110
= 110
F 00 (5) = (10 * F 00 (4) + 100) / F 00 (5 – 2)
= (10*110 + 100) / 1200
= 1
The sequence will be (1, 110, 1200,110, 1).
Sequence F 00 defined as
F 00 (0) = 1,
F 00 (1) = 1,
F 00 (n) = ((10 ∗ F 00 (n – 1) + 100)/ F 00 (n – 2)) for n ≥ 2
Let n=2
F 00 (2) = (10 * F 00 (1) + 100) / F 00 (2 – 2)
= (10 * 1 + 100) / 1
= (10 + 100) / 1
= 110
Let n=3
F 00 (3) = (10 * F 00 (2) + 100) / F 00 (3 – 2)
= (10 * 110 + 100) / 1
= (1100 + 100) / 1
= 1200
Similarly, n=4
F 00 (4) = (10 * F 00 (3) + 100) / F 00 (4 – 2)
= (12100) / 110
= 110
F 00 (5) = (10 * F 00 (4) + 100) / F 00 (5 – 2)
= (10*110 + 100) / 1200
= 1
The sequence will be (1, 110, 1200,110, 1).
(1, 110, 1200)
(1, 110, 600, 1200)
(1, 2, 55, 110, 600, 1200)
(1, 55, 110, 600, 1200)
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